Given numbers are 314,681,454,338

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 314,681,454,338 is 36137946.

Find LCM of 314,681,454,338 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 227 x 157 x 3 x 1 x 169 = 36137946

Therefore, the lowest common multiple of 314,681,454,338 is 36137946.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

314 x 681 x 454 x 338 = 32813254968

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

314 : 1, 2, 157, 314

681 : 1, 3, 227, 681

454 : 1, 2, 227, 454

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,681,454,338, is 1.

Now, the common factors can be found like this.

314:2x 157

681:3x 227

454:2x 227

338:2x 13x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 227 = 908

Therefore, the value for common factors is 908.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 32813254968/(1x908)

LCM = 32813254968/908

LCM = 36137946

Thus, we can understand that the LCM of 314,681,454,338 is 36137946.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 688, 652, 961, 783
• LCM of 178, 308, 793, 295
• LCM of 535, 440, 575, 171
• LCM of 519, 778, 318, 114
• LCM of 649, 132, 666, 513

1. What is the LCM of 314, 681, 454, 338?

Answer: LCM of 314, 681, 454, 338 is 36137946.

2. How to calculate the LCM of 314, 681, 454, 338?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 314, 681, 454, 338.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.